Reynolds Stresses


Reynolds Stresses : Also called: eddy stresses, virtual stresses, apparent stresses, turbulent shear stresses: The components of the mean velocity of a viscous, incompressible, homogeneous fluid in turbulent motion will satisfy a set of equations of the same form as the Navier-Stokes equations when the viscous stress term is replaced by: Txx is replaced by tn: pu'2 , Txy is replaced by txy - pu'v', Zxz is replaced by x" - puw' , etc. The bar denotes a time average, p is the density and u v', w' are the eddy velocities. The terms pu'v' of the form are called the "Reynolds stresses." The Reynolds stresses are the representation of the transfer of the momentum due to turbulent fluctuations. See stress tensor, eddy viscosity. N.B. Refer to source to verify equation(s)
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